The current and voltage in AC circuit are given by I=5 sin ( 100t-(π /2) )A and V=200 sin (100t) volt. The power dissipated in the circuit will be

Question

The current and voltage in AC circuit are given by I=5 sin ( 100t-(π /2) )A and V=200 sin (100t) volt. The power dissipated in the circuit will be (A) 20 W (B) 40 W (C) 1000 W (D) zero

Tardigrade Admin · Accepted Answer

P=Erms× irms× cos φ φ =(π /2) cos φ =0 P=Erms× irms× (0)=0

Q. The current and voltage in AC circuit are given by
$I = 5 sin (100 t - \frac{π}{2}) A$ and
$V = 200 sin (100 t)$ volt. The power dissipated in the circuit will be

20 W

40 W

1000 W

zero

$P = E_{r m s} \times i_{r m s} \times cos ϕ$
$ϕ = \frac{π}{2}$
$cos ϕ = 0$
$P = E_{r m s} \times i_{r m s} \times (0) = 0$

Q. The current and voltage in AC circuit are given by I=5sin(100t−2π​)A and V=200sin(100t) volt. The power dissipated in the circuit will be